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Conceptual Diagram Chapter 5 - Coggle Diagram
Conceptual Diagram Chapter 5
Lesson Lesson 5.1
Compound sentence: is a sentence in which two clauses are connected by the word AND or by the word or
An example: 68 <= C <=70
[H|300<=H < 400]
This equality is called a double inequality because it has two inequality symbols
Union of two sets: L<2.94 or L 3.06
the intersection of two sets is the set consisting of those values common to both sets
Lesson 5.2
System: y=45-x ; y=5+3x
The solution set of a system is the intersection of the solution sets of the individual sentences in the system
There are also solution sets with tables and graphs
Lesson 5.3
Substitution Property of Equality: if a = b, then a may be substituted for b in any arithmetic or algebraic expression
There are some consistent systems but also inconsistent systems
Lesson 5.4
The linear-combination method of solving systems because it involves adding multiples
Linear equations are written in standard form, it b
may be more efficient to solve the system using the Addition and Multiplication Properties of Equality
Lesson 5.7
When a line is drawn in a plane, the line separates the plane into three distinct sets of points: two regions called half-planes and the line itself.
The line is called the boundary of the half-planes
Inequalities with one variable can be graphed on either a number line or in the coordinate plane
In the plane, think of x < 3 as x + 0 · y < 3
Lesson 5.8
A linear inequality in two or more variables may be used to model
a situation in which one or more resources limit, or constrain, the values of the variables
Points in this intersection are often called the feasible set or feasible region for the system